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Finding the Third Proportional to 69,160 and 151,713

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Solution

The third proportional to 69,160 and 151,713 is: 332,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,160 : 151,713 = 151,713 : x
  2. Step 2: Convert to fraction form
    69,160/151,713 = 151,713/x
  3. Step 3: Cross multiply
    69,160x = 151,713 × 151,713
  4. Step 4: Simplify right side
    69,160x = 23,016,834,369
  5. Step 5: Solve for x
    x = 23,016,834,369/69,160
  6. Step 6: Final answer
    x = 332,805.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.